There are multiple ways to simplify a quotient, or fraction, of radicals. One way is to re-write the radical as the root of one single fraction, and reduce that fraction if possible, and then do the root of the simplified top and bottom. Another way is to do the root of the top, the root of the bottom separately, and then find the quotient of the roots. Lastly, we can multiply top and bottom by the radical from the bottom to rationalize the denominator. All three methods are done here.

Alissa Fong

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